On the composite fermion approach in the FQHE
M.Eliashvili
TL;DR
This paper presents a novel perspective on the fractional quantum Hall effect by relating the Laughlin wave function to a composite quasi-particle state through a non-unitary transformation, offering insights into the ground state structure.
Contribution
It introduces a non-unitary singular similarity transformation approach to connect Laughlin wave functions with composite quasi-particle states in FQHE.
Findings
Establishes a mathematical relation between Laughlin states and composite particles.
Provides a new framework for understanding the ground state in FQHE.
Suggests potential for analyzing excitations and correlations.
Abstract
FQHE is presented in the form of non-unitary singular similarity transformation, which relates the Laughlin wave function (and its particle-hole conjugate) to the composite quasi- particle incompressible ground state. (ENSLAPP-A-478/94)
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Cold Atom Physics and Bose-Einstein Condensates · Quantum Chromodynamics and Particle Interactions